Norm of Gaussian integers in arithmetical progressions and narrow sectors
We proved the equidistribution of the Gaussian integer numbers in narrow sectors of the circle of radius x¹/² , x → ∞, with the norms belonging to arithmetic progression N(α) ≡ ℓ (mod q) with the common difference of an arithmetic progression q, q ≪ x²/³⁻ᵋ.
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2020 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2020
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/188520 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Norm of Gaussian integers in arithmetical progressions and narrow sectors / S. Varbanets, Y. Vorobyov // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 259–270. — Бібліогр.: 4 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862717621469708288 |
|---|---|
| author | Varbanets, S. Vorobyov, Y. |
| author_facet | Varbanets, S. Vorobyov, Y. |
| citation_txt | Norm of Gaussian integers in arithmetical progressions and narrow sectors / S. Varbanets, Y. Vorobyov // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 259–270. — Бібліогр.: 4 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | We proved the equidistribution of the Gaussian integer numbers in narrow sectors of the circle of radius x¹/² , x → ∞, with the norms belonging to arithmetic progression N(α) ≡ ℓ (mod q) with the common difference of an arithmetic progression q, q ≪ x²/³⁻ᵋ.
|
| first_indexed | 2025-12-07T18:11:32Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188520 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T18:11:32Z |
| publishDate | 2020 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Varbanets, S. Vorobyov, Y. 2023-03-03T19:55:52Z 2023-03-03T19:55:52Z 2020 Norm of Gaussian integers in arithmetical progressions and narrow sectors / S. Varbanets, Y. Vorobyov // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 259–270. — Бібліогр.: 4 назв. — англ. 1726-3255 DOI:10.12958/adm1529 2010 MSC: 11L07, 11T23 https://nasplib.isofts.kiev.ua/handle/123456789/188520 We proved the equidistribution of the Gaussian integer numbers in narrow sectors of the circle of radius x¹/² , x → ∞, with the norms belonging to arithmetic progression N(α) ≡ ℓ (mod q) with the common difference of an arithmetic progression q, q ≪ x²/³⁻ᵋ. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Norm of Gaussian integers in arithmetical progressions and narrow sectors Article published earlier |
| spellingShingle | Norm of Gaussian integers in arithmetical progressions and narrow sectors Varbanets, S. Vorobyov, Y. |
| title | Norm of Gaussian integers in arithmetical progressions and narrow sectors |
| title_full | Norm of Gaussian integers in arithmetical progressions and narrow sectors |
| title_fullStr | Norm of Gaussian integers in arithmetical progressions and narrow sectors |
| title_full_unstemmed | Norm of Gaussian integers in arithmetical progressions and narrow sectors |
| title_short | Norm of Gaussian integers in arithmetical progressions and narrow sectors |
| title_sort | norm of gaussian integers in arithmetical progressions and narrow sectors |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188520 |
| work_keys_str_mv | AT varbanetss normofgaussianintegersinarithmeticalprogressionsandnarrowsectors AT vorobyovy normofgaussianintegersinarithmeticalprogressionsandnarrowsectors |